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Finding the Fourth Proportional to 1,418.75, 1,957.81 and 789.25

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Solution

The fourth proportional to 1,418.75, 1,957.81 and 789.25 is: 1,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.75 : 1,957.81 = 789.25 : x
  2. Step 2: Convert to fraction form
    1,418.75/1,957.81 = 789.25/x
  3. Step 3: Cross multiply
    1,418.75x = 1,957.81 × 789.25
  4. Step 4: Simplify right side
    1,418.75x = 1,545,187.81
  5. Step 5: Solve for x
    x = 1,545,187.81/1,418.75
  6. Step 6: Final answer
    x = 1,089.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.